Write in Standard Form 1/6x=y-2

$\frac{1}{6} x = y - 2$

The standard form of a linear equation is $A x + B y = C$ .

Multiply both sides by $6$ .

$6 (\frac{1}{6} x) = 6 (y - 2)$

Simplify the left side.

Simplify $6 (\frac{1}{6} x)$ .

Combine $\frac{1}{6}$ and $x$ .

$6 \frac{x}{6} = 6 (y - 2)$

Cancel the common factor of $6$ .

Cancel the common factor.

$6 \frac{x}{6} = 6 (y - 2)$

Rewrite the expression.

$x = 6 (y - 2)$

Simplify the right side.

Simplify $6 (y - 2)$ .

Apply the distributive property.

$x = 6 y + 6 \cdot - 2$

Multiply $6$ by $- 2$ .

$x = 6 y - 12$

Subtract $6 y$ from both sides of the equation.

$x - 6 y = - 12$